Solve the system of linear equations using the substitution method.

5x - 2y = 3 and y = 2x

A. (3, 6)

B. (1, 4)

C. (1, 6)

D. (1, 9)

Answer:

2.50h+1.20f=8.60

Step-by-step explanation:

Since the total cost of food costs $8.60, add together the costs of however many burgers and however many fries you bought. 2.50 and 1.20 are multiplied by the amount of food you purchase

According to the following graph, the equations  y=x+7 and y=x²+4 will intercept 2 times at the points (-1.3, 5.7) and (2.3, 9.3).

Intercept:

The point where the line or curve crosses the axis of the graph is known as intercept.

That is, if a point crosses the x-axis, then it is known as the x-intercept. Similarly, if a point crosses the y-axis, then it is called as the y-intercept.

Given,

Here we have the equation  y=x+7 and y=x²+4.

Now, we need to find the number of times the equation is intercepts.

First, we have to plot the graph for the given equations,

Then based on that one we have easily identify the intercepting points in order to get the results.

In the following graph, the blue line represents the equation y=x²+4 and the red line represents the equation y = x + 7.

While we looking into the graph we have identified that the two lines are intersecting at two point they are (-1.3, 5.7) and (2.3, 9.3).

To know more about Intercept here.

https://brainly.com/question/14180189

#SPJ1

Answer: x= -3

Step-by-step explanation:

1) Set up the equation with triangle sum

35 + x + 58 + 90 = 180

2) Solve

183 + x = 180

x = -3

An arithmetic progression is a sequence in which each number is a fixed amount larger (or smaller) than the one before it. The common difference is the sum in question.

An arithmetic progression is a sequence in which each number is a fixed amount larger (or smaller) than the one before it. The common difference is the sum in question.

By picking two consecutive words in the sequence and deducting the first from the second, we may get the common difference for a particular sequence.

The graph of linear function is a straight line. A function with the formula y=f(x)=ax+by=f(x)=ax+b is said to be linear.

Although not quite the same, arithmetic progressions resemble linear functions.

If the value nn is a full number, then the expression t(n)=2n-4t(n)=2n4 denotes a series, and the graph of this sequence will have distinct points (as shown below).

The expression f(x)=2x-4f(x)=2x4, where xx is any real number, on the other hand, denotes a function, and this function's line graph will be continuous (as shown below).

Although not quite the same, arithmetic progressions resemble linear functions.

To know more about real number visit: https://brainly.com/question/551408

#SPJ13

Probability of selecting eight letter word without repetition of letter is 0.3016.

There are total 26 letters in English alphabets. A 8 letter Code word is selected. We have to take care of repetition of letters as be are not allowed to repeat the letters.

Any letter being chosen should have an equal probability of 1/26. So, we have a probability of 1 to get a non-repeated letter while choosing the first letter.

For first letter the probability is = 26/26

For second letter the probability is = 25/26

For third letter the probability is = 24/26

For fourth letter the probability is = 23/26

For 5th letter the probability is = 22/26

For 6th letter the probability is = 21/26

For 7th letter the probability is = 20/26

For 8th letter the probability is = 19/26

To get an eight letter code that has no repeated letters, all these events have to occur.

Probability of selecting eight letter word without repetition of letters =  (26/26) (25/26) (24/26) (23/26) (22/26) (21/26) (20/26) (19/26)

Probability of selecting eight letter word without repetition of letters = 0.3016

So, 0.3016 is the probability of selecting eight letter word without repetition of letters.

To know more about probability refer to the link:

https://brainly.com/question/24756209

#SPJ1

Answer:The answer to the expression is 102.

Step-by-step explanation:

Answer:

102

Step-by-step explanation:

22(5)-8=102

Multiply and divide (left to right) 22(5) :   110

= 110 - 8

Add and subtract ( left and right) 110 - 8 :    102

[tex]\displaystyle\\Answer:\ -\frac{14}{13} x+y=\frac{8}{13}[/tex]

Step-by-step explanation:

Ax+By=C   the slope is 14/13   (5,6)    (-8,-8)

The slope m equil 14/13

[tex]\displaystyle\\By=mx+C\\\\By=\frac{14}{13} x+C\ \ \ \ (1)[/tex]

Substitute the coordinates of the points into equation (1) and obtain a system of equations:

[tex]\displaystyle\\\left \{ {{B(6)=\frac{14}{13}(5)+C } \atop {B(-8)=\frac{14}{13}(-8)+C }} \right.\\\\\left \{ {{6B=\frac{70}{13} +C\ \ \ \ \ \ \ (2)} \atop {-8B=-\frac{112}{13}+C\ \ \ (3) }} \right.[/tex]

Multiply  both parts of the equation (3) by -1:

[tex]\displaystyle\\\left \{ {{6B=\frac{70}{13}+C \ \ \ \ (4)} \atop {8B=\frac{112}{13}-C }} \right.[/tex]

Add these equations :

[tex]14B=\frac{182}{14}\\\\ 14B=14[/tex]

Divide both parts of the equation by 14:

[tex]B=1[/tex]

Hence, let's substitute the value of B into equation (4):

[tex]\displaystyle\\6(1)=\frac{70}{13}+C \\\\6=\frac{70}{13}+C\\6-\frac{70}{13} =\frac{70}{13} +C-\frac{70}{13}\\\\\frac{6*13-70}{13}=C\\\\\frac{78-70}{13}=C\\\\\frac{8}{13}=C\\[/tex]

[tex]\displaystyle\\Thus,\ C=\frac{8}{13}\\\\ So,\ 1(y)=\frac{14}{13} x+\frac{8}{13} \\ -\frac{14}{13} x+y=\frac{8}{13}[/tex]

Let h be the hours and y the total charge. Then, for Happy Paws, we have

and for Woof Watches, we have

Then, we need to solve these equations.

Solving by elimination method.

If we multiply by -1 the first equation, we have the equivalent system of equations:

If we add both equations, we obtain

because y-y=0. Then, it yields,

If we move -9 to the left hand side as -9, we have

Hence, to find the total cost, we must substitute this values into one of the 2 equations. If we choose the first one, we obtain

Then, the answers are:

The equation is

and, the total cost of the services will be equal at 7.2 hours

Answer: 76,000

Step-by-step explanation:

You move the decimal point to the right 4 times because of the positive exponent.

Answer:

117°

Step-by-step explanation:

180-63=117°

so hope it help

Answer:

[tex]-\frac{16}{21}[/tex]

Step-by-step explanation:

lets organize the equation so it becomes easier to see

[tex]-2\frac{1}{3} + 1\frac{4}{7}[/tex]

switch the spots so that it becomes even easier to read (this does not affect the result in any way)

[tex]1\frac{4}{7}-2\frac{1}{3}[/tex]

now make them both improper fractions

[tex]\frac{11}{7} -\frac{7}{3}[/tex]

and make them both have the same denominator (21)

[tex]\frac{33}{21} -\frac{49}{21}[/tex]

and solve

([tex]33-49= -16[/tex])

[tex]\frac{33}{21} -\frac{49}{21} =\frac{-16}{21}[/tex]

can we simplify [tex]\frac{-16}{21}[/tex]? does 16 and 21 have a common factor?

No.

so our result is

[tex]-\frac{16}{21}[/tex] or 0.761904762

Answer:

it's 21 something like that

Step-by-step explanation:

im 14

Answer:

a) x+4

b) a = 1, b = 10

Step-by-step explanation:

a) You can read the lenght of AB, which is 4 + x

b) The lenght of AD is 6+x

The area of the rectangle ABCD is lenght AB * lenght CD,

so (4+x)*(6+x) = 24 + 6x + 4x + x^2 = x^2 + 10x +24

Since this must equal 28, it follows that

x^2 + 10x + 24 = 28,

so 1*x^2 + 10x = 4

(note that 1*x^2 is just x^2)

so a = 1 and b = 10

Answer:

L = 1/2(p) - w

Step-by-step explanation:

a) Flip the equation.

2l + 2w = p

b) Add -2w to both sides.

2l + 2w + −2w = p +-2w

2l = p − 2w

c) Divide both sides by 2.

2L/2 = p - 2w/2

L = 1/2(p) - w

The equation of the line passing through the point P(-2,6) that is parallel to the line x = -5 is x = -2   .

In the question ,

it is given that

the required line is parallel to x [tex]=[/tex] -5

means the line x [tex]=[/tex] -5 , is a vertical line parallel to y axis , it makes an angle of 90° with the x axis .

so , slope will be tan(90°) = 1/0

hence the slope of the required line is 1/0.

The equation of the line passing through point P(-2,6) and with slope = 1/0 , is

y-6 = (1/0)*(x-(-2))

0 = 1 * (x + 2)

0 = x + 2

x = -2

the graph is drawn below .

Therefore , The equation of the line passing through the point P(-2,6) that is parallel to the line x = -5 is x = -2 .

Learn more about Equation of Line here

https://brainly.com/question/18458132

#SPJ1

Answer:

Yes

Step-by-step explanation:

Because they are consecutive, one is odd and one is even.

The square of an odd number is always odd

The square of an even number is always even

The difference between an odd number and an even number is always odd

Therefore, the difference between any 2 consecutive square numbers is always odd

686 bottles of 4 liters each can be filled from this cube.

We can solve this problem by following a few steps.

As we know that a cube has 6 surfaces and each surface has a geometrical shape of a square. We also know that each side of a square is the same.

So, the surface area of a square ≡ Side × Side.

Let's assume the side as z

Now, the area of this square ≡ z × z = z²

∴ z² = 19600, as per the question.

We have to solve the equation,  z² = 19600   Or, z = 140   ( by doing root both sides)

Now we know the side of the cube, then the volume of this cube is z³.

As, we know the volume of a cube ≡ side × side × side, as the height of a cube is also identical.

Volume of the cube = 140³ =  2,744,000 cc

1000 cc is considered as 1 liter. Therefore, this cube consists of, 2,744,000/1000 = 2744 liter of water.

Each bottle consists of 4 liters of water. Then we can fill, 2744/4 = 686 bottles of water.

To know more about cubes visit,

https://brainly.com/question/21270685?referrer=searchResults

#SPJ9

Answer:

x = 102.4

Step-by-step explanation:

x/8 = 12.8   | * 8

x = 12.8 * 8

x = 102.4

Answer:  x=102.4

Step-by-step explanation:

(x/8)*8=12.8*8

x=102.4

We are given the following function

We are asked to find the negative interval of this function.

A negative interval means that where the y values of the function are negative.

Let us have a look at the graph of this function.

As you can see,

For x = 0, the interval is positive.

For x = 1 and x = -1 the y value is 0 (we don't consider 0 as either positive or negative that's why 0 is not included in the negative or positive interval)

The y values of the function are negative for

x > 1 and x < -1

Therefore, the negative interval of the function y = x² + 1 is

Answer:

It's basically a quadrilateral, it has no name for it.

Step-by-step explanation:

start off by graphing the points

the number in the front is the x axis and the number after is the y axis

Ex: (-4,3) = (X,Y)/  X is horizontal going left to right & Y is vertical going up and down.

The equation that can be set up is, 2x° + 3x° + 36.5° + 36.5° + 2x° = 360°.

The value of x is: x = 41.

Angles that are formed around an endpoint but several rays will have a sum of 360 degrees when each of the angles formed around the endpoint is added together.

The diagram shows the angles that are formed by the five rays at a common endpoint. The angles are, 2x°, 3x°, 36.5°, 36.5°, and 2x°.

The sum of all these angles formed will give us 360 degrees. Therefore, the equation that would be created to find the value of x would be written as:

2x° + 3x° + 36.5° + 36.5° + 2x° = 360° [equation set up to find x]

Combine like terms

7x° + 73° = 360°

Subtract 73 from each side

7x° + 73° - 73° = 360° - 73° [subtraction property of equality]

7x = 287

Divide both sides by 7:

7x/7 = 287/7 [division property of equality]

x = 41

Learn more about equation on:

https://brainly.com/question/4818864

#SPJ1

Answer:

y = -2x -3

Step-by-step explanation:

To write an equation we need two points that the line cuts through.

we then use the formula: Gradient = Rise/Run

the points chosen are (0,-3) and (1,-5)

Gradient = (-5--3)/(1-0)

= -2

to write the equation we need one known point, gradient and one unknown point say (x,y).

we therefore use the formula for gradient/slope

G = Rise/Run

-2 = y+3/x-0

-2x = y + 3

y = -2x -3

Answer:

y = - 2x - 3

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, - 3) and (x₂, y₂ ) = (1, - 5) ← 2 points on the line

m = [tex]\frac{-5-(-3)}{1-0}[/tex] = [tex]\frac{-5+3}{1}[/tex] = [tex]\frac{-2}{1}[/tex] = - 2

the line crosses the y- axis at (0, - 3 ) ⇒ c = - 3

y = - 2x - 3 ← equation of line

Answer:

x = 49°

Step-by-step explanation:

x = 49°

since m and n are parallel to each other

with T an oblique vector

forming a Z shape

to make this true

ANSWER:

A polynomial is an algebraic expression of ordered addition, subtraction, and multiplication made up of variables, constants, and exponents.

Polynomials are made up of finite terms. Each term is an expression that contains one or more of the three elements they are made of variables, constants, or exponents.

In this case, for each term, the variable is x, the constant is 1, and the exponents are 5, 2, and 1, respectively.

This means that we have a sum of monomials, that is, that the expression is a polynomial.

Hello!

Let's solve:

      [tex]\text{Copy down the equation}\\14+7.2n=11+7.5n\\\\\\\text{Move all the variables to one sides and constants to the other}\\14-11=7.5n-7.2n\\7.5n-7.2n = 14-11\\0.3n = 3\\\\\\\text{Divide both sides by 0.3}\\\dfrac{0.3n}{0.3} =\dfrac{3}{0.3} \\\\n = 10[/tex]

Answer: 10

Hope that helps!

Answer: Students filled the brick old red depressing building.

Step-by-step explanation:

Answer:

Im unaware what you are asking?

Step-by-step explanation:

hmmmm